Besides \(\Delta c\) , we also need to know the local slope of \(\ln (\mathcal {O}(c))\)  in Eq. (REF ),
to estimate \(\Delta R_{\mathcal {O}}\)  when switching from the ratio at matching \(c\)  to the ratio at matching \(N_{\mathrm {ch}}\) . Ref. [1]} has published results for \(v_2\) , \(v_3\) , and the CME sensitive observables such as \(\Delta \gamma _{112}\) , \(\Delta \delta \) , and \(\kappa _{112}\equiv \Delta \gamma _{112}/(v_2\Delta \delta )\) . We shall not explain the definitions and the physical meanings of these CME related observables (see Ref. [2]}), but instead just provide an estimate of \(\Delta R_{\mathcal {O}}\)  and explore its origin with the AMPT model.
